Given numbers are 826,128,490,768,663

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 826,128,490,768,663 is 2453418240.

Find LCM of 826,128,490,768,663 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 59 x 1 x 35 x 2 x 221 = 2453418240

Therefore, the lowest common multiple of 826,128,490,768,663 is 2453418240.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

826 x 128 x 490 x 768 x 663 = 26379152916480

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

826 : 1, 2, 7, 14, 59, 118, 413, 826

128 : 1, 2, 4, 8, 16, 32, 64, 128

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

663 : 1, 3, 13, 17, 39, 51, 221, 663

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 826,128,490,768,663, is 1.

Now, the common factors can be found like this.

826:2x 7x 59

128:2x 2x 2x 2x 2x 2x 2

490:2x 5x 7x 7

768:2x 2x 2x 2x 2x 2x 2x 2x 3

663:3x 13x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 2x 2x 2x 2x 2x 3x 7 = 10752

Therefore, the value for common factors is 10752.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 26379152916480/(1x10752)

LCM = 26379152916480/10752

LCM = 2453418240

Thus, we can understand that the LCM of 826,128,490,768,663 is 2453418240.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 558, 780, 200, 432, 449
• LCM of 613, 119, 826, 503, 761
• LCM of 136, 339, 696, 363, 945
• LCM of 980, 542, 870, 769, 747
• LCM of 822, 764, 615, 815, 431

1. What is the LCM of 826, 128, 490, 768, 663?

Answer: LCM of 826, 128, 490, 768, 663 is 2453418240.

2. How to calculate the LCM of 826, 128, 490, 768, 663?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 826, 128, 490, 768, 663.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.